JournalsaihpcVol. 25, No. 6pp. 1221–1251

High-electric-field limit for the Vlasov–Maxwell–Fokker–Planck system

  • Mihai Bostan

    Laboratoire de Mathématiques de Besançon, UMR CNRS 6623, Université de Franche-Comté, 16, route de Gray, 25030 Besançon cedex, France

  • Thierry Goudon

    Project-Team SIMPAF, INRIA Lille Nord Europe Research Centre, Park Plazza, 40, avenue Halley, F-59650 Villeneuve d'Ascq cedex, France, Laboratoire Paul Painlevé, UMR CNRS 8524-USTL, France
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Abstract

In this paper we derive the high-electric-field limit of the three-dimensional Vlasov–Maxwell–Fokker–Planck system. We use the relative entropy method which requires the smoothness of the solution of the limit problem. We obtain convergences of the electro-magnetic field, charge and current densities.

Cite this article

Mihai Bostan, Thierry Goudon, High-electric-field limit for the Vlasov–Maxwell–Fokker–Planck system. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 6, pp. 1221–1251

DOI 10.1016/J.ANIHPC.2008.07.004